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Finding the Third Proportional to 501,537,204 and 774,665,550

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Solution

The third proportional to 501,537,204 and 774,665,550 is: 1,196,534,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,537,204 : 774,665,550 = 774,665,550 : x
  2. Step 2: Convert to fraction form
    501,537,204/774,665,550 = 774,665,550/x
  3. Step 3: Cross multiply
    501,537,204x = 774,665,550 × 774,665,550
  4. Step 4: Simplify right side
    501,537,204x = 600,106,714,356,802,560
  5. Step 5: Solve for x
    x = 600,106,714,356,802,560/501,537,204
  6. Step 6: Final answer
    x = 1,196,534,792.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.